Álgebra Linear 2

CIT502 Overview Rigid Body Kinematics (Lecture 01) Why Study Rigid Body Kinematics As engineers we are primarily interested in predicting and controlling the position and orientation of an object subjected to system inputs • In robotics, given the position of the end-effector (e.g. robotic hand), the engineer determines the actuator command signals for corresponding angular displacements—Inverse posture kinematics • In air/spacecraft such as UAV, satellites, etc. Engineering Application IC A cube (rigid body) Engineering Dynamics 2 Translation Rotation Friction. Calculating Force and Work Force of friction = µN = (98.1 N) = 49.1 N W f = f d cos θ = 49.1 N . (20 m) cos(180°) = -982 J Kinetic friction 0.51 = 1822 J = 49.1 N (20 m) Calculating Mass and Work m = 1.18 m/s² W f = mdv = (230 kg) . (-32.2 m/s²) . (0.98 m) = -7.30 J Spring Work W = = - kx² 1 2 = - (14.3 Nm) (0.10 m) = -0.072 J Experience Education Curriculum Vitae Name Biography This is a sample biography text detailing the background, education, and experiences of an individual. Education Degree: Sample Degree Institution: Sample University Experience Position: Sample Position Company: Sample Company Contact Phone: Sample Phone Email: Sample Email Curriculum Vitae Name Curriculum Vitae Name Biography This is a sample biography text with additional details about an individual's professional journey. Education Degree: Advanced Degree Institution: Advanced University Experience Position: Senior Position Company: Advanced Company Skills Skill 1: Sample Skill Skill 2: Another Skill Contact LinkedIn: Sample LinkedIn My Essay Society today is filled with many different ideas and values. Many people carry strongly held opinions about a wide variety of topics. This is especially true with issues that create an emotional response. Values Honesty is one of the most important values anyone can have. Respect With honesty comes respect. The more honest you are, the more respect you gain in the eyes of others. Diversity Diversity is another key value that is becoming more and more important in our globalized society. Conclusion Values are crucial to everyone and can define a person or community. My Essay Continued In conclusion, honesty, respect, and diversity are just a few of the values that hold great importance in today's world. Cultural Influence It is interesting to witness how cultural influences shape people's values and ideas. Technological Impact Technology plays a significant role in shaping modern society and influencing our values and beliefs. Final Thoughts As society continues to evolve, so too do the values we hold dear. Embracing these changes while holding onto our core values is a delicate balance. My Essay Conclusion Understanding the values that are important to us can help establish a strong foundation for building meaningful relationships and communities. Appreciation Appreciating the values others hold can bridge gaps and foster greater understanding. Overall Impact Ultimately, our values not only shape us individually but also define the societies we create collectively. Citations Sources can be a great way to support an argument, helping to further validate the ideas expressed. References 1. Author. Title. Year. 2. Another Source. Title. Year. Variabila dependentă In concluzie, vectorii a, b și c sunt liniar independenți dacă și numai dacă produsul mixt este nenul. Referințe Bibliografie 1. Productul vectorial Aceste două figuri demonstrează relația dintre produsul vectorial și produsul mixt. Fie A un paralele-piped, având ve-ctrroni rep= pi perpendi-culară dacă a, b și c sunt lineare. V. Produsul mixt Acest geometric arată că produsul mixt al trei vectori – a,b, c este egal cu volumul lui A. a b c În Volum A = (axb).c Este vectorii lin-near depen-dents. FINALIZACION DE LA REUNION DECLARO FORMALMENTE CERRADA LA SESION, dándose lectura a la presente acta, que es suscrita por los asistentes en señal de conformidad, siendo las .................................. MANIFIESTAN SU CONFORMIDAD LOS ASISTENTES ANOTADOS LINEAS ARRIBA LUGAR Y FECHA ......................................................................................... DATOS PERSONA JURIDICA .................. PERSONA RESPONSABLE DE REGISTRO, CON EL SIGUIENTE CONTENIDO FIELMENTE TRANSCRITO DEL ACTA DE LA SESION ................ FECHA .................. SE CIERRA EL ACTA DE LA SESION EXTRAORDINARIA SOLICITUD DE INSCRIPCION DE ACUERDOS DEL ACTA DE LA SESION ....... LUGAR Y FECHA ............. SE FIRMA POR LOS INTEGRANTES DE LA SESION EXTRAORDINARIA